138927882240 has 720 divisors, whose sum is σ = 571360013952. Its totient is φ = 31723094016.

The previous prime is 138927882193. The next prime is 138927882251. The reversal of 138927882240 is 42288729831.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139345422 + ... + 139346418.

Almost surely, 2^138927882240 is an apocalyptic number.

138927882240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138927882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285680006976).

138927882240 is an abundant number, since it is smaller than the sum of its proper divisors (432432131712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138927882240 is an frugal number, since it uses more digits than its factorization.

138927882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 138927882240 in words is "one hundred thirty-eight billion, nine hundred twenty-seven million, eight hundred eighty-two thousand, two hundred forty".